between grades 3 and 4
TRANSCRIPT
1SUMMER MATH • WEEK 10 © Blake eLearning
BETWEEN GRADES 3 AND 4
Math Catch-up • Week 10
www.mathseeds.com
Open the door to
Grade 4!
2SUMMER MATH • WEEK 10 © Blake eLearning
Let's start Week 10Congratulations! You have reached the end of the Get Ready for Grade 4 program.By the end of this week your child will have finished the Mathseeds Get Ready for Grade 4 summer school program. They have 10 weekly certificates they can look at with pride. They should have 10 online certificates proving that they passed from lesson 151 to lesson 200 in the online Mathseeds program in just 10 weeks!
Your child has done an incredible amount of work getting ready for Grade 4. They should now know:
• Numbers to 10,000 including rounding• Equivalent and whole number fractions, plus fraction problems• Number patterns with 2-step rules and equivalent equations• Adding and subtracting including algorithms with regrouping• Multiplication strategies and the times tables • Division equations, related facts, and number fact families• Multi-step word problems using all four operations• Symmetry, angles and properties of 2D shapes• Coordinate grip maps• Prisms and pyramids including nets• Area and perimeter calculations• Measuring capacity, mass, and length in metric units• Time to the minute and calculating with time units• Making equivalent amounts of money • Making predictions and comparing results in chance experiments• Scaled picture and bar graphs, and line plots.
Hopefully your child is ready, confident and excited for the start of Grade 4.
This booklet is the last of ten weekly booklets you will receive over the summer break. The Mathseeds summer catch up program provides a great way to make sure that your child knows the essentials they need to make a successful transition into Grade 4. We know your child will enjoy learning on Mathseeds because Mathseeds makes learning fun – and that’s what summer is all about!
3SUMMER MATH • WEEK 10 © Blake eLearning
Week 10
Day 1 focus: Problems Using the 4 OperationsOnline lesson: Lesson 196 – Division Word ProblemsWorksheets: Division Problems, Multi-Step Problems
Day 2 focus: Whole Number FractionsOnline lesson: Lesson 197 – Whole Number FractionsWorksheets: Whole Number Fractions, How Many Wholes?
Day 3 focus: Length and Line PlotsOnline lesson: Lesson 198 – Measurement DataWorksheets: Measure Distance, Line Plots
Day 4 focus: Fluent Facts Online lesson: Lesson 199 – Fluent Facts Multiplication and DivisionWorksheets: Multiplication Facts, Division Facts
Day 5 focus: Area Problem SolvingOnline lesson: Lesson 200 – Area Problem Solving Worksheets: Area with Subtraction, Additive Areas
Week 10 BonusOnline: Mental Minute × ÷ Badges 133, 134, 135, 136Sheets: Party Calculations, Finger Lengths, Grass SeedsHands-on: Four-in-a-Row
Get Ready for Grade 4
4SUMMER MATH • WEEK 10 © Blake eLearning
Week 10 • Answers
Week 10 Day 1: Division Problems1 a 24; himself, Ruby, and Mrs. T b 24 ÷ 3 = 8 2 a 24; four b 24 ÷ 4 = 6 3 a 24; twelve b 24 ÷ 12 = 2 4 a Ruby, Mrs. T, and Dizzy; 36 b 36 ÷ 3 = 12 5 Parent to check
Week 10 Day 1: Multi-Step Problems1 37 + 53 = 90 songs, 3 × 60 = 180 mins, 180 ÷ 90 = 2 mins per song 2 2 × 12 = 24 ft, 90 – 24 = 66 ft, 66 ft ÷ 11 ft = 6 strings3 45 – 21 = 24 left, 24 ÷ 2 = 12, 12 × 10 = 120 mins, 120 ÷ 60 = 2 hours4 72 ÷ 12 = 6 batches, 30 + 10 = 40 mins, 40 × 6 = 240 mins, 240 ÷ 60 = 4 hours
Week 10 Day 2: Whole Number Fractions 1 a *8 b !@4 c !*6 d )22 a !1 b !%53 a numerator b denominator c 2 shapes each divided into 3 equal parts d 6 e 3 f 2
Week 10 Day 2: How Many Wholes?1 divide the numerator by the denominator. 2 a 6 b 5 c 16 ÷ 8 = 2 d 21 ÷ 3 = 7 e 30 ÷ 5 = 6 f 12 ÷ 6 = 2 3 a 1 b 10 c 5 d 10 e 5 f 3 4 a 14 b 9 c 5 d 8 e 24 f 6
Week 10 Day 3: Measure Distance1 a 2!2 in b 1#4 in c 5 in d 1 in e 3!2 in f 2 in g 2!2 in h 4!4 in i 4#4 in j 1!2 in
Week 10 Day 3: Line Plots1 a 2!2 in b 1#4 in c 5 in d 1 in e 3!2 in f 2 in g 2!2 in h 4!4 in i 4#4 in j 1!2 in2 Parent to check 3 a 1 in b 5 in c 1 d 0 e 2!2 in
Week 10 Day 4: Multiplication Facts1 a 16 b 70 c 27 d 30 e 36 f 25 g 30 h 72 i 28 j 64 k 18 l 24 m 24 n 90 o 60 p 56 q 32 r 36 s 20 t 48 u 18 v 100 w 35 x 54 y 45 z 42 2 a 16 b 56 c 48 d 40 e 21 f 36 g 24 h 45 i 20 j 72 k 42 l 35 m 27 n 32 o 90 p 30
q 18 r 28 s 54 t 40 u 70 v 24 w 14 x 15 y 12 z 40
Week 10 Day 4: Division Facts1 a 4 b 8 c 6 d 7 e 6 f 10 g 8 h 8 i 6 j 7 k 6 l 4 m 7 n 9 o 9 p 8 q 8 r 7 s 3 t 5 u 9 v 6 w 5 x 3 y 6 z 4 2 a 8 b 7 c 9 d 7 e 2 f 6 g 10 h 6 i 5 j 9 k 5 l 9 m 9 n 3 o 5 p 4 q 8 r 4 s 10 t 5 u 3 v 8 w 8 x 4 y 6 z 7
Week 10 Day 5: Area with Subtraction1 a Parent to check b 5 × 7 = 35 ft2 c 2 × 3 = 6 ft2 d 35 – 6 = 29 ft2 2 a 2 × 4 = 8, 2 × 1 = 2, 8 – 2 = 6 ft2 b 3 × 4 = 12, 1 × 2 = 2, 12 – 2 = 10 ft2 c 4 × 8 = 32, 4 × 3 = 12, 32 – 12 = 20 ft2
Week 10 Day 5: Additive Areas1 a Parent to check b 2 × 1 = 2 ft2 c 3 × 1 = 3 ft2 d 2 + 3 = 5 ft2 2 a 2 × 2 = 4, 3 × 10 = 30, 30 + 4 = 34 ft2 b 3 × 5 = 15, 3 × 3 = 9, 15 + 9 = 24 ft2 c 2 × 3 = 6, 2 × 3 = 6, 5 × 10 = 50, 50 + 6 + 6 = 62 ft2
Week 10 Bonus: Party Calculations Parent to check
Week 10 Bonus: Finger LengthsParent to check
Week 10 Bonus: Grass Seeds1 a, b Parent to check c i Find the area of the yard, minus the paved section. ii Then work out how many lots of 10 ft2 cover it. 2 a 24 × 12 = 288, 4 × 6 = 24, 288 – 24 = 264 ft2 b 26 bags × 10 ft2 = 260 ft2, 4 ft2 left over so + 1 bag = 27 bags c 27 bags of seed
5SUMMER MATH • WEEK 10 © Blake eLearning
Color each one when you have completed each day’s work.
Week 10 Monday Tuesday Wednesday Thursday Friday
Online Lesson
Worksheets
Day Done!
Week 10
Incentive chart for:
Notes/thoughts/ideas
___________________________________________________________________________________
___________________________________________________________________________________
___________________________________________________________________________________
___________________________________________________________________________________
___________________________________________________________________________________
___________________________________________________________________________________
___________________________________________________________________________________
___________________________________________________________________________________
196 197 198 199 200
6SUMMER MATH • WEEK 10 © Blake eLearning
DIVISION PROBLEMS WEEK 10 • DAY 1
a Circle the numbers and clues.b Complete the equation. Calculate the answer.
5 Write a problem to go with this division equation. 36 ÷ 6 = 6 __________________________________________________________ __________________________________________________________ __________________________________________________________
1 a Dizzy has 24 fishing flies. He shares them equally between himself, Ruby, and Mrs. T. How many flies does each person get?
b _____ ÷ _____ = _____
3 a Ruby has 24 feet of fishing line. She cuts it into twelve equal lengths. How long is each short line?
b _____ ÷ _____ = _____
2 a Mrs. T makes 24 sandwiches. She puts an equal number into each of four boxes. How many sandwiches in each box?
b _____ ÷ _____ = _____
4 a Ruby, Mrs. T, and Dizzy each bring the same number of apples. Altogether they have 36 apples. How many did each person bring?
b _____ ÷ _____ = _____
7SUMMER MATH • WEEK 10 © Blake eLearning
MULTI-STEP PROBLEMS WEEK 10 • DAY 1
Solve the problems. Show your working.
3 Minh needs to make 45 invitations. She has made 21 already. It takes her ten minutes to make two invitations. How long will it take Minh to make the rest?
4 Pina is baking cupcakes. She does 12 in each batch and each batch takes 30 minutes. Plus she needs an extra 10 minutes per batch to decorate them. If she aims to make 72 cupcakes, how long will it take altogether?
2 Ling wants fairy lights all the way along the 90 ft fence. She borrows two 12 ft strings of lights from Rin. How many 11 ft lengths of lights does Ling need to buy to finish the job?
1 Quinn has to put together a play list for the party. He merges two lists – there are 37 songs in the rock list and 53 songs in the pop list. The play list is three hours long. How many minutes long is each song?
8SUMMER MATH • WEEK 10 © Blake eLearning
WHOLE NUMBER FRACTIONS WEEK 10 • DAY 2
1 Match the fractions.
a b
c d
186
124
88
102
3 Complete. Use the words numerator or denominator for 1a and 1b.
a In the fraction 3̂, 6 is the ________________________________ .
b In the fraction 3̂, 3 is the ________________________________ .
c Draw 3̂.
d How many thirds in 3̂? ________
e How many thirds in one whole? ________
f How many wholes in 3̂? ________
2 Fill in the fractions to match.
a b
9SUMMER MATH • WEEK 10 © Blake eLearning
HOW MANY WHOLES? WEEK 10 • DAY 2
1 Complete this sentence using the words numerator and denominator.
To find the number of wholes in a fraction, divide the
_________________________ by the _________________________ .
2 Find the number of wholes.
a = 12 ÷ 2 = ____122
c = ____ ÷ ____ = ____168
e = ____ ÷ ____ = ____305
b = 20 ÷ 4 = ____204
d = ____ ÷ ____ = ____213
f = ____ ÷ ____ = ____126
a = ____ wholes22
c = ____ wholes153
e = ____ wholes306
b = ____ wholes101
d = ____ wholes404
f = ____ wholes248
3 Find the number of wholes.
4 Complete.
a = 7 wholes2
4
c
e
= 5 wholes
= 6 wholes
25
b = 9 wholes1
d
f
= 5 wholes
= 8 wholes
40
48
10SUMMER MATH • WEEK 10 © Blake eLearning
MEASURE DISTANCE WEEK 10 • DAY 3
d e
h
i
b
a c
g
f
j
1 How far did each snail go?
a Anna _______ in b Bob _______ in
c Cleo _______ in d Dan _______ in
e Erin _______ in f Finn _______ in
g Gru _______ in h Hera _______ in
i Ian _______ in j Jing _______ in
!4 !2 #4 1 !4 !2 #4 2 !4 !2 #4 3 !4 !2 #4 4 !4 !2 #4 5 in
11SUMMER MATH • WEEK 10 © Blake eLearning
LINE PLOTS WEEK 10 • DAY 3
1 Use the distance measurements from page 10 to fill this data table.
2 Use the data in the table to fill in the line plot.
3 Answer the questions based on the line plot.
a What was the shortest distance traveled? _______________
b What was the greatest distance traveled? _______________
c How many snails traveled 2 inches? _______________
d How many snails traveled 3 inches? _______________
e Which distance did two snails travel? _______________
Snail Distance Snail Distance
a Anna f Finn
b Bob g Gru
c Cleo h Hera
d Dan i Ian
e Erin j Jing
0 !4 !2 #4 1 !4 !2 #4 2 !4 !2 #4 3 !4 !2 #4 4 !4 !2 #4 5Distance in inches
Snail Trails
12SUMMER MATH • WEEK 10 © Blake eLearning
MULTIPLICATION FACTS WEEK 10 • DAY 4
1 Fold this sheet in half. Complete the top half. Time yourself.
a 8 × 2 = ______ b 10 × 7 = ______ c 3 × 9 = ______
d 6 × 5 = ______ e 4 × 9 = ______ f 5 × 5 = ______
g 10 × 3 = ______ h 9 × 8 = ______ i 7 × 4 = ______
j 8 × 8 = ______ k 9 × 2 = ______ l 4 × 6 = ______
m 3 × 8 = ______ n 9 × 10 = ______ o 6 × 10 = ______
p 8 × 7 = ______ q 8 × 4 = ______ r 6 × 6 = ______
s 5 × 4 = ______ t 6 × 8 = ______ u 6 × 3 = ______
v 10 × 10 = ______ w 7 × 5 = ______ x 9 × 6 = ______
y 5 × 9 = ______ z 6 × 7 = ______ Time: ___________
2 Complete the bottom half. Time yourself. Were you faster?
a 4 × 4 = ______ b 7 × 8 = ______ c 8 × 6 = ______
d 8 × 5 = ______ e 3 × 7 = ______ f 9 × 4 = ______
g 8 × 3 = ______ h 9 × 5 = ______ i 4 × 5 = ______
j 8 × 9 = ______ k 7 × 6 = ______ l 5 × 7 = ______
m 9 × 3 = ______ n 4 × 8 = ______ o 10 × 9 = ______
p 5 × 6 = ______ q 2 × 9 = ______ r 4 × 7 = ______
s 6 × 9 = ______ t 10 × 4 = ______ u 7 × 10 = ______
v 6 × 4 = ______ w 7 × 2 = ______ x 3 × 5 = ______
y 4 × 3 = ______ z 5 × 8 = ______ Time: ___________
13SUMMER MATH • WEEK 10 © Blake eLearning
DIVISION FACTS WEEK 10 • DAY 4
1 Fold this sheet in half. Complete the top half. Time yourself.
a 16 ÷ 4 = ______ b 56 ÷ 7 = ______ c 48 ÷ 8 = ______
d 21 ÷ 3 = ______ e 36 ÷ 6 = ______ f 90 ÷ 9 = ______
g 40 ÷ 5 = ______ h 32 ÷ 4 = ______ i 54 ÷ 9 = ______
j 35 ÷ 5 = ______ k 60 ÷ 10 = ______ l 28 ÷ 7 = ______
m 70 ÷ 10 = ______ n 36 ÷ 4 = ______ o 45 ÷ 5 = ______
p 72 ÷ 9 = ______ q 64 ÷ 8 = ______ r 42 ÷ 6 = ______
s 24 ÷ 8 = ______ t 25 ÷ 5 = ______ u 18 ÷ 2 = ______
v 24 ÷ 4 = ______ w 30 ÷ 6 = ______ x 27 ÷ 9 = ______
y 18 ÷ 3 = ______ z 20 ÷ 5 = ______ Time: ____________
2 Complete the bottom half. Time yourself. Were you faster?
a 80 ÷ 10 = ______ b 14 ÷ 2 = ______ c 54 ÷ 6 = ______
d 28 ÷ 4 = ______ e 18 ÷ 9 = ______ f 30 ÷ 5 = ______
g 100 ÷ 10 = ______ h 42 ÷ 7 = ______ i 35 ÷ 7 = ______
j 72 ÷ 8 = ______ k 20 ÷ 4 = ______ l 90 ÷ 10 = ______
m 27 ÷ 3 = ______ n 18 ÷ 6 = ______ o 45 ÷ 9 = ______
p 24 ÷ 6 = ______ q 48 ÷ 6 = ______ r 32 ÷ 8 = ______
s 70 ÷ 7 = ______ t 40 ÷ 8 = ______ u 21 ÷ 7 = ______
v 24 ÷ 3 = ______ w 64 ÷ 8 = ______ x 36 ÷ 9 = ______
y 36 ÷ 6 = ______ z 56 ÷ 8 = ______ Time: ____________
14SUMMER MATH • WEEK 10 © Blake eLearning
AREA WITH SUBTRACTION WEEK 10 • DAY 5
1 Mrs. T’s new kitchen is 5 ft wide by 7 ft long. She has a bench in the middle that is 2 ft wide by 3 ft long. How much floor space does she have?
a Draw a diagram of the kitchen. b Calculate the area of the whole kitchen.
_____________________ c Calculate the area of
the bench. _____________________ d Calculate the floor
space in the kitchen. _____________________
_____________________
_____________________
_____________________
4 ft
8 ft
3 ft
4 ft
____ × ____ = ____ ____ × ____ = ________ – ____ = ____
____ × ____ = ____ ____ × ____ = ________ – ____ = ____
2 ft 2 ft
1 ft
1 ft
2 ft3 ft
4 ft
4 ft2 Calculate the gray floor space. a b
c
15SUMMER MATH • WEEK 10 © Blake eLearning
WEEK 10 • DAY 5ADDITIVE AREAS
1 Mango made an enclosure for her bugs. How much space do the bugs have?
a Divide the shape into two rectangles. b Calculate the area of one rectangle.
_____________________ c Calculate the area of
the other rectangle. _____________________ d Calculate the area of
the whole enclosure. _____________________
2 Calculate the area of each irregular shape. a b
c
3 ft
2 ft
1 ft
1 ft
____ × ____ = ____ ____ × ____ = ________ + ____ = ____
_____________________
_____________________
_____________________
_____________________
____ × ____ = ____ ____ × ____ = ________ + ____ = ____
2 ft
10 ft
10 ft
3 ft
2 ft 2 ft
8 ft
2 ft3 ft
3 ft
5 ft
3 ft
3 ft
16SUMMER MATH • WEEK 10 © Blake eLearning
PARTY CALCULATIONS WEEK 10 • BONUS
2 Party supplies 3 How much? 4a Cost per item? 4b How many of each? 4c Total cost for each
4d Total cost of the party supplies:
Imagine you’re planning a party. 1 Write a guest list. Who will you invite? It could
be real people in your life, or you could have fun making a list of imaginary or historical people you’d like to invite.
__________________________________________________________ __________________________________________________________ __________________________________________________________2 Make a list of party supplies below. For example, plates, cups, forks,
napkins, chips, sandwiches, fruit, candy, drinks, and a cake. Will you have balloons and streamers? Party hats?
3 How much or how many of everything will you need?4 Calculate the cost of your party. Go to a supermarket website
and search for the things on your list. Find out: a What is the cost per item/pack/box/bottle? b How many items/packs/boxes/bottles will you need to buy? c Write down how much each of your supplies will cost. d Calculate the total cost of your party.
17SUMMER MATH • WEEK 10 © Blake eLearning
FINGER LENGTHS WEEK 10 • BONUS
c Record your measurements using a table.
2 Make a line plot of your data.
3 What does the data tell us about your fingers? Write some statements about your data. Think about concepts such as longest, shortest, order, and differences.
___________________________________________________________ ___________________________________________________________ ___________________________________________________________
Left Thumb Pointer Finger Middle Finger Ring Finger Little Finger
Length
Right Thumb Pointer Finger Middle Finger Ring Finger Little Finger
Length
1 You are going to do some measurement research. Take a ruler and measure the length of each of your ten fingers. Record the measurements in fourths of an inch. Put this data on a line plot. What does the data tell you about your fingers?
a Underline the question. b Circle the facts.
0 in 1 in 2 in 3 in 4 in
18SUMMER MATH • WEEK 10 © Blake eLearning
GRASS SEEDS WEEK 10 • BONUS
1 Dizzy’s yard is 12 ft wide. It is twice as long. It has a paved section measuring 6 x 4 ft. A bag of grass seed covers 10 ft2. How many bags of grass seed does Dizzy need?
a Underline the question. b Circle the facts.
c How will you solve this problem? Write out the steps.
i Find ______________________________________________
______________________________________________
ii Then work out ______________________________________ ______________________________________________
2 a Calculate step i. Show your working.
b Calculate step ii. Show your working.
c How many bags of grass seed does Dizzy need? _____________
19SUMMER MATH • WEEK 10 © Blake eLearning
HANDS-ON: FOUR-IN-A-ROW WEEK 10 • BONUS
1 Take turns rolling the dice and multiply the two numbers together. e.g. 3 and 2 multiply to make 6.
2 Color the answer square on the multiplication table. e.g. the 6 where row 3 and column 2 meet or the 6 where row 2 and column 3 meet. If your squares are already colored, miss that turn.
3 First person to color four squares in a row wins.
You will need 1 table below, 2 dice, and 2 colored pencils or markers.
× 1 2 3 4 5 6
1 1 2 3 4 5 6
2 2 4 6 8 10 12
3 3 6 9 12 15 18
4 4 8 12 16 20 24
5 5 10 15 20 25 30
6 6 12 18 24 30 36
× 1 2 3 4 5 6
1 1 2 3 4 5 6
2 2 4 6 8 10 12
3 3 6 9 12 15 18
4 4 8 12 16 20 24
5 5 10 15 20 25 30
6 6 12 18 24 30 36
× 1 2 3 4 5 6
1 1 2 3 4 5 6
2 2 4 6 8 10 12
3 3 6 9 12 15 18
4 4 8 12 16 20 24
5 5 10 15 20 25 30
6 6 12 18 24 30 36
× 1 2 3 4 5 6
1 1 2 3 4 5 6
2 2 4 6 8 10 12
3 3 6 9 12 15 18
4 4 8 12 16 20 24
5 5 10 15 20 25 30
6 6 12 18 24 30 36